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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Beads on a necklace, and why the count halves"

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Show All Working: The half angle formulae and the t-substitution

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Worked Example: The equation of a circle with a given centre and radius

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Quiz: Finding the centre and the radius from the general equation

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Show All Working: The intersection of a circle and a straight line

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Spot My Mistake: The standard deviation of an ungrouped set of data

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Final Revision: A ladder leaning against a wall, and the moments acting on it

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Show All Working: A lift, and the person standing in it

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Learn: Resolving the weight along and perpendicular to an inclined plane

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Explain Back: The angle of friction, and the coefficient of friction

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Quiz: The centripetal force, and what supplies it in a given situation

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Show All Working: A body in a vertical circle, and the tension at the top

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Final Revision: The period and the frequency of circular motion

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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